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%I #4 Mar 31 2012 12:37:15
%S 1,2,20,252,7422,424316,53078115,13870207250,7439765626245
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 6,3,2,0,2,0,2 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 6's, every 1 is next to 1 3's, every 2 is next to 2 2's, every 3 is next to 3 0's, every 4 is next to 4 2's, every 5 is next to 5 0's, every 6 is next to 6 2's
%e Some solutions with all values from 0 to 6 for 7X7X7
%e ........0..............0..............0..............0..............0
%e .......0.0............3.1............0.2............0.0............3.0
%e ......1.3.0..........0.0.0..........0.2.2..........0.5.0..........0.2.2
%e .....2.2.1.0........0.0.2.2........3.1.4.0........0.0.2.2........0.2.6.2
%e ....0.2.4.2.2......2.2.4.2.0......0.0.2.2.0......2.2.4.2.0......2.4.2.2.0
%e ...0.5.0.2.6.2....2.6.2.0.5.0....0.5.2.6.2.0....2.6.2.0.0.3....2.2.0.0.5.0
%e ..0.0.0.0.2.2.0..0.2.2.0.0.0.0..0.0.0.2.2.0.0..0.2.2.0.0.1.0..0.0.1.3.0.0.0
%K nonn
%O 1,2
%A _R. H. Hardin_ Feb 15 2012